Premium
Finite elements for an optimal control problem governed by a parabolic equation
Author(s) -
Meric R. A.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140413
Subject(s) - mathematics , finite element method , optimal control , parabolic partial differential equation , simple (philosophy) , mathematical analysis , boundary value problem , boundary (topology) , space (punctuation) , numerical analysis , partial differential equation , mathematical optimization , computer science , physics , philosophy , thermodynamics , operating system , epistemology
Abstract A stationary variational formulation of the necessary conditions for optimality is derived for an optimal control problem governed by a parabolic equation and mixed boundary conditions. Then a mixed finite element model with elements in space and time is utilized to solve a simple numerical example whose analytical and finite difference solutions are given elsewhere. Numerical results show that the proposed method with C ° continuity elements constitutes a powerful numerical technique for solution of optimal control problems of distributed parameter systems.